Mini Course: Quasi-Isometric Rigidity - Tullia Dymarz
January 10 - 19, 2024, The Fields Institute
Overview
A quasi-isometry between metric spaces is a map that is coarsely Lipschitz and has a coarsely Lipschitz (coarse) inverse.
This is an equivalence relation on all metric spaces. Since all word metrics on a given finitely generated group produce quasi-isometric metric spaces this allows us to assign a geometry to a finitely group independent of generating set. A basic problem in geometric group theory, initiated by Gromov, is to classify finitely groups with their word metrics up to quasi-isometry or more generally find classes of such groups that are closed under quasi-isometry.
The first lecture of this series will be an introduction to the basics of quasi-isometries and some well-known invariants. The last lecture will discuss quasi-isometric rigidity of lattices in SOL following Eskin-Fisher-Whyte and more recent results on SOL-like groups. The middle lectures will be divided between building up tools useful for the last lecture as well as exploring other recent results concerning the quasi-isometric classification of various families of groups.
Participation Instruction:
Please join us via zoom at https://zoom.us/j/97241819130
Schedule
| 15:00 to 16:30 |
Tullia Dymarz, University of Wisconsin–Madison Location:Fields Institute, Room 210 |
| 15:00 to 16:30 |
Tullia Dymarz, University of Wisconsin–Madison Location:Fields Institute, Room 210 |
| 15:00 to 16:30 |
Tullia Dymarz, University of Wisconsin–Madison Location:Fields Institute, Room 210 |
| 15:00 to 16:30 |
Tullia Dymarz, University of Wisconsin–Madison Location:Fields Institute, Room 210 |
